Search a number
-
+
1401595805148 = 22371131714211637
BaseRepresentation
bin10100011001010101100…
…111101011110111011100
311221222202121210002121020
4110121111213223313130
5140430432011231043
62551514554204140
7203155564526130
oct24312547536734
94858677702536
101401595805148
114a0460324320
121a777b723650
13a2229401486
144bba252b3c0
15266d32d0e83
hex146559ebddc

1401595805148 has 384 divisors, whose sum is σ = 4280929615872. Its totient is φ = 346308480000.

The previous prime is 1401595805069. The next prime is 1401595805171. The reversal of 1401595805148 is 8415085951041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1401595805148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 856196986 + ... + 856198622.

It is an arithmetic number, because the mean of its divisors is an integer number (11148254208).

Almost surely, 21401595805148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401595805148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140464807936).

1401595805148 is an abundant number, since it is smaller than the sum of its proper divisors (2879333810724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1401595805148 is a wasteful number, since it uses less digits than its factorization.

1401595805148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 51.

The spelling of 1401595805148 in words is "one trillion, four hundred one billion, five hundred ninety-five million, eight hundred five thousand, one hundred forty-eight".